The third smallest Salem number in automorphisms of K3 surfaces
Algebraic Geometry
2009-05-15 v2 Complex Variables
Abstract
We realize the logarithm of the third smallest known Salem number as the topological entropy of a K3 surface automorphism with a Siegel disk and a pointwisely fixed curve at the same time. We also show the logarithm of the Lehmer number, the smallest known Salem number, is not realizable as the topological entropy of any Enriques surface automorphism. These results are entirely inspired by McMullen's works and Mathematica programs.
Keywords
Cite
@article{arxiv.0905.2396,
title = {The third smallest Salem number in automorphisms of K3 surfaces},
author = {Keiji Oguiso},
journal= {arXiv preprint arXiv:0905.2396},
year = {2009}
}
Comments
22 pages, many typos in formulas, values and in english are corrected. Main results are unchanged